Question 5
Let $ABC$ be an acute scalene triangle inscribed in circle $(O)$. Its incircle $(I)$ touches $BC,CA,AB$ at $D,E,F$, respectively. Ray $EF$ meets $(O)$ at $M$. The tangents to $(O)$ at $A,M$ meet at $S$, and the tangents at $B,C$ meet at $T$. Suppose $IT$ meets $OA$ at $J$. Prove that
$$\angle ASJ=\angle TSI.$$
$$\angle ASJ=\angle TSI.$$